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zepelin [54]
3 years ago
9

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At

what rate does this bamboo grow? Simplify your answer and write it as a proper fraction, mixed number, or whole number. centimeters per day
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in \frac{1}{3} of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is y centimetres in x number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = \frac{y}{x}

We are given that:

y = 30\ cm\\x = \frac{1}{3}\ days

Putting the values, we get:

\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}

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Answer: What is a factor?

A factor is a  a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

Step-by-step explanation: Why can’t certain expressions be factored?

Because there are no common factors other than 1 the constants cannot be factored. And, because there is no x in the second term (10), we cannot factor an x out of the two terms.

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0.27 repeating as a fraction in simplest form is 3/11
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the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the
Brums [2.3K]

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

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6 0
3 years ago
The mass of a basket with 25 chocolate bars is 1110g. The mass of the empty basket is 310 g. A. What is the mass of 1 chocolate
shusha [124]

Answer:

A. 32 g

B. 3670 g

Step-by-step explanation:

Basket + 25 bars: 1110 g

Basket: 310 g

25 bars: 1110 g - 310 g = 800 g

1 bar: 800 g / 25 = 32 g

105 bars: 105 × 32 g = 3360 g

Basket + 105 bars: 310 g + 3360 g = 3670 g

Answer:

A. 32 g

B. 3670 g

5 0
2 years ago
This is a pond in the shape of a prism. It is completely full of water
UkoKoshka [18]

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

4 0
3 years ago
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